Pith Number

pith:57OMXW6E

pith:1997:57OMXW6EOSLFMV655WU7KAJ5LR

not attested not anchored not stored refs pending

The Status of Diffeomorphism Superselection in Euclidean 2+1 Gravity

Donald Marolf, Jos\'e Mour\~ao, Thomas Thiemann

arxiv:gr-qc/9701068 v1 · 1997-01-30 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57OMXW6EOSLFMV655WU7KAJ5LR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T16:04:36.032057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efdccbdbc474965657ddeda9f5013d5c699f48e9d366fbdb01edfb1c6ed6e492

Aliases

arxiv: gr-qc/9701068 · arxiv_version: gr-qc/9701068v1 · doi: 10.48550/arxiv.gr-qc/9701068 · pith_short_12: 57OMXW6EOSLF · pith_short_16: 57OMXW6EOSLFMV65 · pith_short_8: 57OMXW6E

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/57OMXW6EOSLFMV655WU7KAJ5LR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: efdccbdbc474965657ddeda9f5013d5c699f48e9d366fbdb01edfb1c6ed6e492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a8bbaa414d1bfa46e8a892a9ea7eaee413ba05a95ff273079c9117784304df0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-01-30T19:24:51Z",
    "title_canon_sha256": "e7c7dbd40076414a1fd4ca025166602aefbfd4c8ef5faae7b206f4255d71f34b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9701068",
    "kind": "arxiv",
    "version": 1
  }
}